A non-linear velocity inversion of a moderately difficult synthetic model in a cross-hole geometry using ray trace tomography
, by Christof Stork
The cross-hole transmission velocity inversion problem has a significant non-linear
component because horizontal geology can radically effect horizontally traveling energy.
the repeated application of a travel time linear inversion to reconstruct a sample
cross-hole model is generally successful at removing these non-linear effects, but not
entirely. Further improvement of the model seems to require that wave form amplitude and
dispersion information be included in the inversion. Analysis of the wave forms for the
sample model used here indicates that although the inversions are close to the original
model, they are not close enough to be within the region of validity for Born inversion
schemes.
STANFORD